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Worksheets

Industrial and Business Mathematics - MIDTERM

Total questions: 50

Worksheet time: 4hrs 10mins

Name
Class
Date
1.

Simplify: 3 × [4 + 2(5 - 2)]

a)

27

b)

30

c)

33

d)

36

2.

Find the value of: 4² - 8 ÷ 2 + 6

a)

14

b)

18

c)

20

d)

22

3.

Evaluate: 3 + 6 × (8 - 5) ÷ 3

a)

9

b)

7

c)

11

d)

5

4.

Which of the following expressions is equivalent to 3(4 + 2)?

a)

3 × 4 + 3 × 2

b)

3 × 4 + 2

c)

3 + 4 × 2

d)

3(4) + 3(2)

5.

If 2x + 3(x - 1) = 17, what is the value of x?

a)

3

b)

4

c)

5

d)

6

6.

Determine which of the following expressions gives the largest result:

a)

3 + 4 × 5

b)

(3 + 4) × 5

c)

3 × (4 + 5)

d)

3 × 4 + 5

7.

Which expression must have parentheses added to equal 15?

a)

3 + 4 × 2

b)

12 ÷ 4 + 3

c)

3 × 4 + 3

d)

20 - 5 × 1

8.

Convert 5/8 to a decimal.

a)

0.625

b)

0.675

c)

0.825

d)

0.725

9.

Round 3.1479 to the nearest hundredth.

a)

3.1

b)

3.14

c)

3.15

d)

3.148

10.

Simplify: 15/35

a)

3/7

b)

5/7

c)

3/5

d)

4/7

11.

Calculate: 2.35 × 4.2

a)

9.87

b)

9.77

c)

9.67

d)

9.57

12.

Round 0.0678 to the nearest thousandth.

a)

0.067

b)

0.068

c)

0.07

d)

0.0675

13.

Perform the operation: 5/8 - 3/10

a)

1/4

b)

11/40

c)

13/40

d)

17/40

14.

If a recipe calls for 3/4 cup of flour, how much flour is needed to make 2 1/2 times the recipe?

a)

1 1/8 cups

b)

1 7/8 cups

c)

1 3/4 cups

d)

2 1/4 cups

15.

A board 3 3/4 feet long is cut into 5 equal pieces. How long is each piece?

a)

3/4 ft

b)

3/5 ft

c)

3/7 ft

d)

3/20 ft

16.

What is the sum of 0.25, 1/8, and 0.375?

a)

0.75

b)

0.625

c)

0.875

d)

0.775

17.

If 3.25 × n = 13, what is the value of n?

a)

4

b)

3.8

c)

4.2

d)

4.0

18.

What is 15% of 80?

a)

8

b)

12

c)

15

d)

20

19.

36 is what percentage of 144?

a)

20%

b)

25%

c)

30%

d)

40%

20.

If 30% of a number is 45, what is the number?

a)

135

b)

150

c)

175

d)

225

21.

A store offers a 25% discount on a $120 item. What is the sale price?

a)

$90

b)

$95

c)

$85

d)

$80

22.

If the sales tax rate is 8.5%, how much tax is paid on a purchase of $65?

a)

$5.20

b)

$5.53

c)

$5.85

d)

$6.05

23.

If the price of a product increases from $80 to $96, what is the percentage increase?

a)

16%

b)

20%

c)

24%

d)

30%

24.

A stock price drops from $75 to $60. What is the percentage decrease?

a)

15%

b)

20%

c)

25%

d)

30%

25.

The population of a town grew from 5,000 to 5,600 in one year. What was the percentage growth?

a)

10%

b)

12%

c)

14%

d)

16%

26.

A car's value depreciated by 15% to $21,250. What was its original value?

a)

$24,500

b)

$25,000

c)

$25,500

d)

$26,000

27.

If enrollment in a school increases by 8% from last year's 450 students, how many students are enrolled this year?

a)

458

b)

476

c)

486

d)

495

28.

Find the mean of 18, 23, 15, 29, and 20.

a)

20

b)

21

c)

22

d)

23

29.

A student scored 85, 78, 92, and 88 on four tests. What was the student's average score?

a)

85.75

b)

86.25

c)

85.25

d)

85.5

30.

In a weighted grading system, quizzes count for 30%, the midterm for 30%, and the final exam for 40%. If a student scores 85 on quizzes, 78 on the midterm, and 92 on the final exam, what is their weighted average?

a)

85.6

b)

85.7

c)

86.1

d)

86.4

31.

A company's profit for the first three quarters was $15,000, $18,000, and $21,000. What must be the profit in the fourth quarter for the company to average $20,000 per quarter for the year?

a)

$24,000

b)

$26,000

c)

$28,000

d)

$30,000

32.

A student needs an average of 70% to pass a course. If the student scored 65%, 72%, and 68% on the first three tests, what minimum score is needed on the fourth test to pass the course?

a)

73%

b)

75%

c)

77%

d)

79%

33.

Convert 5 kilometers to meters.

a)

50 m

b)

500 m

c)

5,000 m

d)

50,000 m

34.

Convert 2.5 hours to minutes.

a)

150 minutes

b)

120 minutes

c)

160 minutes

d)

155 minutes

35.

Convert 250 centimeters to meters.

a)

0.25 m

b)

2.5 m

c)

25 m

d)

0.025 m

36.

Convert 30°C to Fahrenheit. (F = 9/5 × C + 32)

a)

86°F

b)

80°F

c)

96°F

d)

76°F

37.

Convert 2,000 milliliters to liters.

a)

0.2 L

b)

2 L

c)

20 L

d)

0.02 L

38.

If a car travels at 60 mph for 2.5 hours, how many kilometers does it travel? (1 mile ≈ 1.6 km)

a)

240 km

b)

180 km

c)

250 km

d)

150 km

39.

A recipe calls for 300 grams of flour. If you only have a measuring cup that measures in cups, how many cups of flour do you need? (1 cup of flour ≈ 120 grams)

a)

2 cups

b)

2.5 cups

c)

2.25 cups

d)

3 cups

40.

A tank can hold 500 liters of water. What is its capacity in gallons? (1 gallon ≈ 3.78 liters)

a)

132.3 gallons

b)

155.8 gallons

c)

143.7 gallons

d)

189.0 gallons

41.

A piece of land measures 1.5 hectares. What is its area in square feet? (1 hectare = 10,000 m², 1 m² ≈ 10.76 ft²)

a)

161,400 ft²

b)

61,400 ft²

c)

1,614,000 ft²

d)

16,140 ft²

42.

If a person walks at a pace of 5.4 km/h, how many meters does the person walk in 45 minutes?

a)

4,050 m

b)

3,450 m

c)

4,550 m

d)

2,450 m

43.

Which of the following is the most appropriate unit to measure the weight of a car?

a)

Grams

b)

Kilograms

c)

Metric tons

d)

Milligrams

44.

An athlete runs 1500 meters in 4 minutes and 10 seconds. Which statement is correct?

a)

The athlete's speed is less than 20 km/h

b)

The athlete's speed is between 20 and 22 km/h

c)

The athlete's speed is between 22 and 24 km/h

d)

The athlete's speed is greater than 24 km/h

45.

A medication dosage is prescribed as 5 mg per kg of body weight. For a child weighing 44 pounds, which is the correct dosage?

a)

220 mg

b)

100 mg

c)

200 mg

d)

88 mg

46.

A bottle of water contains 16.9 fluid ounces. If a person needs to drink 2 liters of water daily, approximately how many bottles should they drink? (1 fluid ounce ≈ 29.57 mL)

a)

3 bottles

b)

4 bottles

c)

5 bottles

d)

6 bottles

47.

If 2(x + 3) = 5x - 8, what is the value of x?

a)

2

b)

3

c)

4

d)

5

48.

Solve for x: 5x - 7 = 3x + 9

a)

x = 6

b)

x = 7

c)

x = 8

d)

x = 9

49.

The sum of three consecutive integers is 51. What is the smallest of these integers?

a)

15

b)

16

c)

17

d)

18

50.

The perimeter of a rectangle is 42 cm. If the length is 3 cm more than the width, what is the width?

a)

9 cm

b)

10 cm

c)

11 cm

d)

12 cm